Combining stability with symmetry properties in bifurcation problems
Rendiconti del Seminario Matematico della Università di Padova, Tome 76 (1986), pp. 137-148. 
@article{RSMUP_1986__76__137_0,
     author = {Cicogna, G.},
     title = {Combining stability with symmetry properties in bifurcation problems},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {137--148},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {76},
     year = {1986},
     mrnumber = {881565},
     zbl = {0612.58026},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1986__76__137_0/}
}
TY  - JOUR
AU  - Cicogna, G.
TI  - Combining stability with symmetry properties in bifurcation problems
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1986
SP  - 137
EP  - 148
VL  - 76
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_1986__76__137_0/
LA  - en
ID  - RSMUP_1986__76__137_0
ER  - 
%0 Journal Article
%A Cicogna, G.
%T Combining stability with symmetry properties in bifurcation problems
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1986
%P 137-148
%V 76
%I Seminario Matematico of the University of Padua
%U http://www.numdam.org/item/RSMUP_1986__76__137_0/
%G en
%F RSMUP_1986__76__137_0
Cicogna, G. Combining stability with symmetry properties in bifurcation problems. Rendiconti del Seminario Matematico della Università di Padova, Tome 76 (1986), pp. 137-148. http://www.numdam.org/item/RSMUP_1986__76__137_0/

[1] S.R. Bernfeld - P. Negrini - L. Salvadori, Quasi-invariant manifolds, stability, and generalized Hopf bifurcation, Ann. Mat. Pura Appl., (IV), CXXX (1982), p. 1070. | MR | Zbl

[2] S.R. Bernfeld - L. Salvadori - F. Visentin: Hopf bifurcation and related stability problems for periodic differential systems, to be published. | Zbl

[3] G. Cicogna, Symmetry breakdown from bifurcation, Lett. Nuovo Cim., 31 (1981), p. 600. | MR

[4] G. Cicogna, Bifurcation and symmetries, Boll. Un. Mat. Ital., 1-B (1982), p. 787. | MR | Zbl

[5] G. Cicogna, Bifurcation from topology and symmetry arguments, Boll. Un. Mat. Ital., 3-A (1984), p. 131. | MR | Zbl

[6] M. Golubitsky, The Bénard problem, symmetry, and the lattice of isotropy subgroups, in: Bifurcation Theory, Mechanics and Physics (C. P. Bruter et al., ed.s), p. 225, Reidel, Dordrecht, 1983. | MR | Zbl

[7] M. Golubitsky - E. Ihrig, Pattern selection with O3 symmetry, Physica, 13D (1984), p. 1. | MR | Zbl

[8] M. Golubitsky - I. Stewart, Hopf bifurcation in the presence of symmetry, Arch. Rat. Mech. Anal., 87 (1985), p. 107. | MR | Zbl

[9] G. Iooss - D.D. Joseph, Elementary Stability and Bifurcation Theory, U.T.M., Springer-Verlag, New York, 1980. | MR | Zbl

[10] L. Michel, Nonlinear group action. Smooth action of compact Lie groups on manifolds, in: Statistical Mechanics and Field Theory (R. N. Sen, C. Weil ed.s), p. 133, Israel Univ. Press, Jerusalem, 1972. | Zbl

[11] L. Michel, Symmetry defects and broken symmetry, Rev. Mod. Phys., 52 (1980), p. 617. | MR

[12] P. Negrini - L. Salvadori, Attractivity and Hopf bifurcation, Nonlin. Anal., T.M.A., 3 (1979), p. 87. | MR | Zbl

[13] L. Salvadori, An approach to bifurcation via stability theory, Proc. of the Conf. on Recent Advances in Nonlinear Analysis and Differential Equations, Madras, 1981.

[14] L. Salvadori, Exchange of stability and bifurcation for periodic differential systems, Proc. of VI Int. Conf. on Trends in Theory and Practice of Nonlinear Analysis, North-Holland Elsevier (in printing). | MR | Zbl

[15] L. Salvadori, Lectures notes at the 9th Summer School of Mathematical Physics (Ravello, 1984), and at the Meeting on Nonlinear Oscillations o Conservative Systems (Venezia, 1985).

[16] D.H. Sattinger, Topics in Stability and Bifurcation Theory, Lecture Notes in Mathematics n. 309, Springer-verlag, Berlin, 1972. | MR | Zbl

[17] D.H. Sattinger, Group Theoretic Methods in Bifurcation Theory, Lecture Notes in Mathematics n. 762, Springer-Verlag, Berlin, 1979. | MR | Zbl

[18] D.H. Sattinger, Branching in the Presence of Symmetry, CBMS-NSF, Reg. Conf. on Appl. Math., SIAM, Philadelphia, 1983. | MR | Zbl

[19] A. Vanderbauwhede, An abstract setting for the study of the Hopf bifurcation, Nonlin. Anal., T.M.A., 4 (1980), p. 547. | MR | Zbl

[20] A. Vanderbauwhede, Local Bifurcation and Symmetry, Pitman Research Notes in Mathematics, vol. 75, Boston, 1982. | MR | Zbl

[21] A. Vanderbauwhede, Stability of bifurcating equilibria and the principle of reduced stability, pp. 209-223, in: Bifurcation Theory and Applications CIME Lect. Notes, Montecatini 1983 (ed. L. Salvadori), Lecture Notes in Mathematics n. 1057, Springer-Verlag, Berlin, 1984. | MR | Zbl